|Title:||Analytical study and numerical experiments for Laplace equation with overspecified boundary conditions||Authors:||Jeng-Tzong Chen
Chen, K. H.
|Issue Date:||Sep-1998||Publisher:||ScienceDirect||Journal Volume:||22||Journal Issue:||9||Start page/Pages:||703-725||Source:||Applied Mathematical Modelling||Abstract:||
In this paper, the window function, e−αk2, is applied to regularize the divergent problem which occurs in the Laplace equation with overspecified boundary conditions in an infinite strip region. To deal with this ill-posed problem, the corner of the L-curve is chosen as the compromise point to determine the optimal α of the Gaussian window, e−αk2, so that the high wave-number (k) content can be suppressed instead of engineering judgement using the concept of a cutoff wave-number. From the examples shown, it is found that a reasonable solution of the unknown boundary potential can be reconstructed, and that both high wave-number content and divergent results can be avoided by using the proposed regularization technique.
|Appears in Collections:||河海工程學系|
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